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Finding the Fourth Proportional to 10,289, 14,200.74 and 5,873

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Solution

The fourth proportional to 10,289, 14,200.74 and 5,873 is: 8,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 14,200.74 = 5,873 : x
  2. Step 2: Convert to fraction form
    10,289/14,200.74 = 5,873/x
  3. Step 3: Cross multiply
    10,289x = 14,200.74 × 5,873
  4. Step 4: Simplify right side
    10,289x = 83,400,946.02
  5. Step 5: Solve for x
    x = 83,400,946.02/10,289
  6. Step 6: Final answer
    x = 8,105.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.